{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1], dtype=int64)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn import preprocessing\n",
    "\n",
    "iris = load_iris()\n",
    "X = iris.data[50:150,]\n",
    "\n",
    "le = preprocessing.LabelEncoder()\n",
    "y = le.fit_transform(iris.target[50:150])\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=None,\n",
       "            max_features=None, max_leaf_nodes=None,\n",
       "            min_impurity_split=1e-07, min_samples_leaf=1,\n",
       "            min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
       "            presort=False, random_state=None, splitter='best')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "train_X, test_X, train_y, test_y = train_test_split(X, y, test_size = 0.33, random_state = 123)\n",
    "clf = DecisionTreeClassifier()\n",
    "clf.fit(train_X, train_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  1.,  1.,  0.,  1.,  0.,  0.,  1.,  1.,  0.,  0.,  1.,  0.,\n",
       "        1.,  0.,  0.,  1.,  0.,  0.,  1.,  0.,  0.,  0.,  0.,  0.,  1.,\n",
       "        1.,  0.,  1.,  0.,  0.,  1.,  1.])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "probas_ = clf.fit(train_X, train_y).predict_proba(test_X)\n",
    "probas_[:, 1]\n",
    "#probas_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_curve, auc\n",
    "fpr, tpr, thresholds = roc_curve(test_y, probas_[:, 1])\n",
    "#tpr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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A5JRHHnlEF198sT777DPtv//+WrJkib797W+7XRa+AMESAAAAekQkFu9wOlo4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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4b7beb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot(fpr, tpr, label='ROC curve')\n",
    "plt.plot([0, 1], [0, 1], 'k--')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.0])\n",
    "plt.xlabel('False Positive Rate')\n",
    "plt.ylabel('True Positive Rate')\n",
    "plt.title('Receiver operating characteristic example')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Area under the ROC curve : 0.876838\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import auc\n",
    "roc_auc = auc(fpr, tpr)\n",
    "print(\"Area under the ROC curve : %f\" % roc_auc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n",
       "            max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
       "            min_impurity_split=1e-07, min_samples_leaf=1,\n",
       "            min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
       "            n_estimators=10, n_jobs=1, oob_score=False, random_state=None,\n",
       "            verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "clf1 = DecisionTreeClassifier()\n",
    "clf1.fit(train_X, train_y)\n",
    "\n",
    "clf2 = SVC(probability=True)\n",
    "clf2.fit(train_X, train_y)\n",
    "\n",
    "clf3 = LogisticRegression()\n",
    "clf3.fit(train_X, train_y)\n",
    "\n",
    "clf4 = RandomForestClassifier()\n",
    "clf4.fit(train_X, train_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hoosuQnFxsdmh7RSeydQuYsEgtv/jH6i4axWilZXImzABvj9dCNeIEWaHRkRE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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x619b828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize= [20,10])\n",
    "for clf, title in zip([clf1,clf2,clf3, clf4], ['Decision Tree', 'SVM', 'LogisticRegression', 'RandomForest']):\n",
    "    probas_ = clf.fit(train_X, train_y).predict_proba(test_X)\n",
    "    fpr, tpr, thresholds = roc_curve(test_y, probas_[:, 1])\n",
    "    plt.plot(fpr, tpr, label='%s - AUC:%.2f'%(title, auc(fpr, tpr)) )\n",
    "    \n",
    "plt.plot([0, 1], [0, 1], 'k--')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.0])\n",
    "plt.xlabel('False Positive Rate', fontsize = 20)\n",
    "plt.ylabel('True Positive Rate', fontsize = 20)\n",
    "plt.title('Receiver operating characteristic example', fontsize = 20)\n",
    "plt.legend(loc=\"lower right\", fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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